摘要
利用两个矩阵和的Drazin逆公式,给出Schur补S=D-CA^DB=0的分块矩阵M=(A BC D)(其中A和D是方阵)在条件A~πAB=0,A^DABC=0下的Drazin逆表达式和具体的数值例子;给出三角块矩阵M=(A BC0),在条件A~πAB=0,A^DABC=0下的Drazin逆表达式。
Based on the Drazin inverse of sum of two matrices, the expression for the Drazin inverse of 2 × 2block matrix M =（A C B D）（ A and D are square matrix） having generalized Schur complement S = D - CADB being zero is given under conditions A π AB = 0 and A D ABC = 0. Specific numerical example is presented. The expression for the Drazin inverse of triangular block matrix M =（A C B O）（ A is square matrix） is obtained under conditions Aπ AB = 0 and A D ABC = 0.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2016年第5期625-630,共6页
Journal of Natural Science of Heilongjiang University
基金
内蒙古自治区高等学校科学研究项目(NJZY14207)
